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1020002120200 = 235272313357479
BaseRepresentation
bin11101101011111001101…
…11010011001000001000
310121111210200221102002201
432311330313103020020
5113202431020321300
62100325453205544
7133456413653200
oct16657467231010
93544720842081
101020002120200
11363642672948
121458247908b4
137525523651b
1437522b21400
151b7ec7a066a
hexed7cdd3208

1020002120200 has 144 divisors (see below), whose sum is σ = 2847680236800. Its totient is φ = 338433782400.

The previous prime is 1020002120191. The next prime is 1020002120243. The reversal of 1020002120200 is 20212000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1374940 + ... + 1982539.

It is an arithmetic number, because the mean of its divisors is an integer number (19775557200).

Almost surely, 21020002120200 is an apocalyptic number.

1020002120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020002120200 is an abundant number, since it is smaller than the sum of its proper divisors (1827678116600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020002120200 is a wasteful number, since it uses less digits than its factorization.

1020002120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357540 (or 3357524 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020002120200 its reverse (20212000201), we get a palindrome (1040214120401).

The spelling of 1020002120200 in words is "one trillion, twenty billion, two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 49 50 56 62 70 98 100 124 140 155 175 196 200 217 245 248 280 310 350 392 434 490 620 700 775 868 980 1085 1225 1240 1400 1519 1550 1736 1960 2170 2450 3038 3100 4340 4900 5425 6076 6200 7595 8680 9800 10850 12152 15190 21700 30380 37975 43400 60760 75950 151900 303800 3357479 6714958 13429916 16787395 23502353 26859832 33574790 47004706 67149580 83936975 94009412 104081849 117511765 134299160 164516471 167873950 188018824 208163698 235023530 329032942 335747900 416327396 470047060 520409245 587558825 658065884 671495800 728572943 822582355 832654792 940094120 1040818490 1175117650 1316131768 1457145886 1645164710 2081636980 2350235300 2602046225 2914291772 3290329420 3642864715 4112911775 4163273960 4700470600 5100010601 5204092450 5828583544 6580658840 7285729430 8225823550 10200021202 10408184900 14571458860 16451647100 18214323575 20400042404 20816369800 25500053005 29142917720 32903294200 36428647150 40800084808 51000106010 72857294300 102000212020 127500265025 145714588600 204000424040 255000530050 510001060100 1020002120200